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Simplifying 4(2x + -5) = 5(4x + 2) Reorder the terms: 4(-5 + 2x) = 5(4x + 2) (-5 * 4 + 2x * 4) = 5(4x + 2) (-20 + 8x) = 5(4x + 2) Reorder the terms: -20 + 8x = 5(2 + 4x) -20 + 8x = (2 * 5 + 4x * 5) -20 + 8x = (10 + 20x) Solving -20 + 8x = 10 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -20 + 8x + -20x = 10 + 20x + -20x Combine like terms: 8x + -20x = -12x -20 + -12x = 10 + 20x + -20x Combine like terms: 20x + -20x = 0 -20 + -12x = 10 + 0 -20 + -12x = 10 Add '20' to each side of the equation. -20 + 20 + -12x = 10 + 20 Combine like terms: -20 + 20 = 0 0 + -12x = 10 + 20 -12x = 10 + 20 Combine like terms: 10 + 20 = 30 -12x = 30 Divide each side by '-12'. x = -2.5 Simplifying x = -2.5
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